Order of Operations: First, solve 6+7×8 using the order of operations (PEMDAS/BODMAS).7×8=56, then add 6.6+56=62
Exponential Calculation: Next, calculate 102−16÷8. 102=100, then divide 16 by 8. 100−2=98
Multiplication and Addition: Now, evaluate (25+11)×2.25+11=36, then multiply by 2.36×2=72
Complex Arithmetic: Solve 3+6×(5+4)÷3−7.First, inside the parentheses: 5+4=9.Next, multiply by 6: 6×9=54.Then, divide by 3: 54÷3=18.Finally, add 3, subtract 7: 3+18−7=14
Parentheses and Operations: For 56−2(20+12÷4×3−2×2)+10, start with the parentheses.Inside: 12÷4=3, then 3×3=9.Next: 20+9=29, then 2×2=4.Subtract: 29−4=25.Now, multiply by 2: 2×25=50.Subtract from 56 and add 10: 12÷4=30
Bracketed Calculation: Evaluate 6+[(16−4)÷(22+2)]−2.Inside the brackets: 16−4=12.Next, 22=4, then add 2: 4+2=6.Divide: 12÷6=2.Finally, add to 6 and subtract 2: 6+2−2=6
Division and Multiplication: Calculate (96÷12)+14×(12+8)÷2.First, divide 96 by 12: 96÷12=8.Next, add inside the parentheses: 12+8=20.Multiply by 14: 14×20=280.Then, divide by 2: 280÷2=140.Finally, add 8: 960
Addition and Subtraction: Solve (93+15)÷(3×4)−24+8.First, add inside the parentheses: 93+15=108.Next, multiply 3 by 4: 3×4=12.Divide: 108÷12=9.Finally, subtract 24 and add 8: 9−24+8=−7
Division and Multiplication: For 55÷11+(18−6)×9, start with division.55÷11=5.Next, subtract inside the parentheses: 18−6=12.Multiply by 9: 12×9=108.Finally, add 5: 5+108=113
Bracketed Calculation: Lastly, evaluate [11-20\div(5^{2}-13)\div3+8]\times2").\(\newlineInside the parentheses: \$5^{2}=25\), then subtract \(13\): \(25-13=12").\(\newline\)Divide 20 by 12: \$20\div12=1.666...\) (approx. \(\(1\).\(67\)")).\(\newline\)Subtract from \(11\): \(\(11\)\(-1\).\(67\)=\(9\).\(33\)").\(\newline\)Add \(8\): \(\(9\).\(33\)+\(8\)=\(17\).\(33\)").\(\newline\)Finally, multiply by \(2\): \(\(17\).\(33\)\times\(2\)=\(34\).\(66\)")